Publications related to Hamming bound

A Gapless Post-quantum Hash Proof System in the Hamming Metric

A hash proof system (HPS) is a form of implicit proof of membership to a language. Out of the very few existing post-quantum HPS, most are based on languages of ciphertexts of code-based or lattice-based cryptosystems and inherently suffer from a gap cause ...

2023

Mismatched Decoding Reliability Function at Zero Rate

Marco Bondaschi

We derive an upper bound on the reliability function of mismatched decoding for zero-rate codes. The bound is based on a result by Komlos that shows the existence of a subcode with certain symmetry properties. The bound is shown to coincide with the expurg ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

A Unified Discretization Approach to Compute–Forward: From Discrete to Continuous Inputs

Michael Christoph Gastpar, Sung Hoon Lim, Adriano Pastore, Chen Feng

Compute–forward is a coding technique that enables receiver(s) in a network to directly decode one or more linear combinations of the transmitted codewords. Initial efforts focused on Gaussian channels and derived achievable rate regions via nested lattice ...

2022

Optima Age Over Erasure Channels

Emre Telatar, Elie Najm, Rajai Nasser

Previous works on age of information and erasure channels have dealt with specific models and computed the average age or average peak age for certain settings. In this paper, given a source that produces a letter every T-s seconds and an erasure channel t ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

A Revisitation of Low-Rate Bounds on the Reliability Function of Discrete Memoryless Channels for List Decoding

Marco Bondaschi

We revise the proof of low-rate upper bounds on the reliability function of discrete memoryless channels for ordinary and list-decoding schemes, in particular Berlekamp and Blinovsky's zero-rate bound, as well as Blahut's bound for low rates. The available ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

Compute-Forward for DMCs: Simultaneous Decoding of Multiple Combinations

Michael Christoph Gastpar, Sung Hoon Lim, Adriano Pastore, Chen Feng

Algebraic network information theory is an emerging facet of network information theory, studying the achievable rates of random code ensembles that have algebraic structure, such as random linear codes. A distinguishing feature is that linear combinations ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Compute–Forward Multiple Access (CFMA): Practical Implementations

Michael Christoph Gastpar, Sung Hoon Lim, Jingge Zhu, Erixhen Sula, Adriano Pastore

We present a practical strategy that aims to attain rate points on the dominant face of the multiple access channel capacity using a standard low complexity decoder. This technique is built upon recent theoretical developments of Zhu and Gastpar on compute ...

2019

MATHICSE Technical Report : Low-rank approximation in the Frobenius norm by column and row subset selection

Daniel Kressner, Alice Cortinovis

A CUR approximation of a matrix A is a particular type of low-rank approximation where C and R consist of columns and rows of A, respectively. One way to obtain such an approximation is to apply column subset selection to A and its transpose. In this work, ...

MATHICSE2019

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Hamming bound

A Gapless Post-quantum Hash Proof System in the Hamming Metric

Mismatched Decoding Reliability Function at Zero Rate

A Unified Discretization Approach to Compute–Forward: From Discrete to Continuous Inputs

Optima Age Over Erasure Channels

A Revisitation of Low-Rate Bounds on the Reliability Function of Discrete Memoryless Channels for List Decoding

Almost impossible E_8 and Leech lattices

Compute-Forward for DMCs: Simultaneous Decoding of Multiple Combinations

Compute–Forward Multiple Access (CFMA): Practical Implementations

MATHICSE Technical Report : Low-rank approximation in the Frobenius norm by column and row subset selection

New Results On The Pseudoredundancy

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Chat with Graph Search

A Gapless Post-quantum Hash Proof System in the Hamming Metric

Mismatched Decoding Reliability Function at Zero Rate

A Unified Discretization Approach to Compute–Forward: From Discrete to Continuous Inputs

A Revisitation of Low-Rate Bounds on the Reliability Function of Discrete Memoryless Channels for List Decoding

Optima Age Over Erasure Channels

Almost impossible E_8 and Leech lattices

Compute-Forward for DMCs: Simultaneous Decoding of Multiple Combinations

New Results On The Pseudoredundancy

Compute–Forward Multiple Access (CFMA): Practical Implementations

MATHICSE Technical Report : Low-rank approximation in the Frobenius norm by column and row subset selection